Online GCD Calculator is useful to find the GCD of 852, 704, 970, 342 quickly. Get the easiest ways to solve the greatest common divisor of 852, 704, 970, 342 i.e 2 in different methods as follows.
Given Input numbers are 852, 704, 970, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (852, 704, 970, 342) = 2.
Given numbers are 852, 704, 970, 342
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 970 are 2 x 5 x 97
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 852, 704, 970, 342 is 2.
Given numbers are 852, 704, 970, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 704) = 149952
GCD(852, 704) = ( 852 x 704 ) / 149952
= 852 / 704
= 852
Step2:
LCM(4, 970) = 1940
GCD(4, 970) = ( 4 x 970 ) / 1940
= 4 / 970
= 4
Step3:
LCM(2, 342) = 342
GCD(2, 342) = ( 2 x 342 ) / 342
= 2 / 342
= 2
So, Greatest Common Divisor of 852, 704, 970, 342 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 704, 970, 342
The greatest common divisor of numbers 852, 704, 970, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 704, 970, 342 is 2.
1. What is the GCD of 852, 704, 970, 342?
GCD of given numbers 852, 704, 970, 342 is 2
2. How to calculate the greatest common divisor of 852, 704, 970, 342?
We can find the highest common divisor of 852, 704, 970, 342 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 852, 704, 970, 342 i.e 2.
3. How can I use the GCD of 852, 704, 970, 342Calculator?
Out the numbers 852, 704, 970, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.